The correct answer is: [C]: " inverse variation; xy = 40 " .
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Step-by-step explanation:
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Examine the table given, and plug in the value:
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In the equation for Answer choice: [C]: " xy = 40 ".
When x = 1 , y = 40.
xy = 40 ; 1*40 = 40. Yes.
When x = 2, y = 20.
xy = 40; 2*20 = 40. Yes.
When x = 5, y = 40.
xy = 40. 8* 5 = 40. Yes.
When x = 10, y = 4.
xy = 40. 10*4 = 40. Yes.
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So the equation makes sense ;
"inverse variation; xy = 40".
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since; "xy = 40" ; which is "answer choice: [C]".
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We know that the other choices do NOT make sense; if we plug in any of the corresponding x and y values for any of the equations provided in any of the other answer choices, the equations will not equal, and as such, the answer choices are incorrect.
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